%%% ===================================================================== %%% REFERENCES FOR REFACTORED PAPER %%% Observer-Conditioned Path Integrals in Causal Set Theory %%% ===================================================================== %%% --- Original references (retained and verified) --- @article{Kleitman1975, title={Asymptotic enumeration of partial orders on a finite set}, author={Kleitman, Daniel J and Rothschild, Bruce L}, journal={Transactions of the American Mathematical Society}, volume={205}, pages={205--220}, year={1975} } @article{Loomis2018, title={Suppression of non-manifold-like sets in the causal set path integral}, author={Loomis, S and Carlip, Steven}, journal={Classical and Quantum Gravity}, volume={35}, number={1}, pages={015009}, year={2018}, publisher={IOP Publishing} } @article{Bombelli1987, title={Space-time as a causal set}, author={Bombelli, Luca and Lee, Joohan and Meyer, David and Sorkin, Rafael D}, journal={Physical Review Letters}, volume={59}, number={5}, pages={521--524}, year={1987}, publisher={APS} } @article{Benincasa2010, title={The Scalar Curvature of a Causal Set}, author={Benincasa, Dionigi MR and Dowker, Fay}, journal={Physical Review Letters}, volume={104}, number={18}, pages={181301}, year={2010}, publisher={APS} } @article{Surya2019, title={The causal set approach to quantum gravity}, author={Surya, Sumati}, journal={Living Reviews in Relativity}, volume={22}, number={1}, pages={5}, year={2019}, publisher={Springer} } @article{Sekino2008, title={Fast scramblers}, author={Sekino, Yasuhiro and Susskind, Leonard}, journal={Journal of High Energy Physics}, volume={2008}, number={10}, pages={065}, year={2008}, publisher={IOP Publishing} } @article{Bousso1999, title={A covariant entropy conjecture}, author={Bousso, Raphael}, journal={Journal of High Energy Physics}, volume={1999}, number={07}, pages={004}, year={1999}, publisher={IOP Publishing} } %%% --- New references for the refactored paper --- @incollection{Sorkin2003, title={Causal sets: Discrete gravity}, author={Sorkin, Rafael D}, booktitle={Lectures on Quantum Gravity}, pages={305--327}, year={2003}, publisher={Springer} } @article{Sorkin2009, title={Scalar field theory on a causal set in histories form}, author={Sorkin, Rafael D}, journal={Journal of Physics: Conference Series}, volume={306}, pages={012017}, year={2009}, publisher={IOP Publishing} } @article{Sorkin1994, title={Quantum mechanics as quantum measure theory}, author={Sorkin, Rafael D}, journal={Modern Physics Letters A}, volume={9}, number={33}, pages={3119--3127}, year={1994}, publisher={World Scientific} } @article{Brightwell1991, title={Counting antichains in finite partially ordered sets}, author={Brightwell, Graham R}, journal={Order}, volume={8}, number={3}, pages={225--235}, year={1991}, publisher={Springer} } @article{Rideout2000, title={Classical sequential growth dynamics for causal sets}, author={Rideout, David P and Sorkin, Rafael D}, journal={Physical Review D}, volume={61}, number={2}, pages={024002}, year={2000}, publisher={APS} } @article{Glaser2018, title={Finite size scaling in 2d causal set quantum gravity}, author={Glaser, Lisa and Surya, Sumati}, journal={Classical and Quantum Gravity}, volume={35}, number={4}, pages={045006}, year={2018}, publisher={IOP Publishing} } @article{Dowker2020, title={Being and becoming on the road to quantum gravity; or, the birth of a baby is not a baby}, author={Dowker, Fay}, journal={Philosophical Transactions of the Royal Society A}, volume={378}, pages={20190239}, year={2020} } @article{Carlip2023, title={Causal sets: Overview and status}, author={Carlip, Steven}, journal={Journal of Physics: Conference Series}, volume={2533}, pages={012001}, year={2023} } @book{Wald1984, title={General Relativity}, author={Wald, Robert M}, year={1984}, publisher={University of Chicago Press} } @article{Hayden2007, title={Black holes as mirrors: quantum information in random subsystems}, author={Hayden, Patrick and Preskill, John}, journal={Journal of High Energy Physics}, volume={2007}, number={09}, pages={120}, year={2007}, publisher={Springer} } @article{Lashkari2013, title={Towards the fast scrambling conjecture}, author={Lashkari, Nima and Stanford, Douglas and Hastings, Matthew and Osborne, Tobias and Hayden, Patrick}, journal={Journal of High Energy Physics}, volume={2013}, number={4}, pages={22}, year={2013}, publisher={Springer} } @article{Hoory2006, title={Expander graphs and their applications}, author={Hoory, Shlomo and Linial, Nathan and Wigderson, Avi}, journal={Bulletin of the American Mathematical Society}, volume={43}, number={4}, pages={439--561}, year={2006} } @book{Chung1997, title={Spectral Graph Theory}, author={Chung, Fan R K}, year={1997}, publisher={American Mathematical Society}, series={CBMS Regional Conference Series in Mathematics}, volume={92} } @article{Cheeger1970, title={A lower bound for the smallest eigenvalue of the Laplacian}, author={Cheeger, Jeff}, journal={Problems in Analysis}, pages={195--199}, year={1970}, publisher={Princeton University Press} } @article{Alon1985, title={$\lambda_1$, isoperimetric inequalities for graphs, and superconcentrators}, author={Alon, Noga and Milman, Vitali D}, journal={Journal of Combinatorial Theory, Series B}, volume={38}, number={1}, pages={73--88}, year={1985}, publisher={Elsevier} } @article{Polya1921, title={{\"U}ber eine Aufgabe der Wahrscheinlichkeitsrechnung betreffend die Irrfahrt im Stra{\ss}ennetz}, author={P{\'o}lya, George}, journal={Mathematische Annalen}, volume={84}, pages={149--160}, year={1921}, publisher={Springer} } @book{Lawler2010, title={Random Walk: A Modern Introduction}, author={Lawler, Gregory F and Limic, Vlada}, year={2010}, publisher={Cambridge University Press} } @article{Winkler1985, title={Random orders}, author={Winkler, Peter M}, journal={Order}, volume={1}, number={4}, pages={317--331}, year={1985}, publisher={Springer} } @book{Bollobas2001, title={Random Graphs}, author={Bollob{\'a}s, B{\'e}la}, edition={2nd}, year={2001}, publisher={Cambridge University Press} } @article{tHooft1993, title={Dimensional reduction in quantum gravity}, author={'t~Hooft, Gerard}, journal={arXiv preprint gr-qc/9310026}, year={1993} } @article{Susskind1995, title={The world as a hologram}, author={Susskind, Leonard}, journal={Journal of Mathematical Physics}, volume={36}, pages={6377--6396}, year={1995}, publisher={AIP} } @article{Maldacena1999, title={The large-{N} limit of superconformal field theories and supergravity}, author={Maldacena, Juan}, journal={International Journal of Theoretical Physics}, volume={38}, number={4}, pages={1113--1133}, year={1999}, publisher={Springer} } @article{Carlip2017, title={Dimension and dimensional reduction in quantum gravity}, author={Carlip, Steven}, journal={Classical and Quantum Gravity}, volume={34}, number={19}, pages={193001}, year={2017}, publisher={IOP Publishing} } @article{Calcagni2017, title={Multifractional theories: an unconventional review}, author={Calcagni, Gianluca}, journal={Journal of High Energy Physics}, volume={2017}, number={3}, pages={138}, year={2017}, publisher={Springer} } @article{Kitaev2015, title={A simple model of quantum holography}, author={Kitaev, Alexei}, journal={KITP Program: Entanglement in Strongly-Correlated Quantum Matter}, year={2015}, note={Talks at KITP, April 7 and May 27, 2015} } @article{Maldacena2016, title={A bound on chaos}, author={Maldacena, Juan and Shenker, Stephen H and Stanford, Douglas}, journal={Journal of High Energy Physics}, volume={2016}, number={8}, pages={106}, year={2016}, publisher={Springer} } @article{Roberts2015, title={Localized shocks}, author={Roberts, Daniel A and Stanford, Douglas and Susskind, Leonard}, journal={Journal of High Energy Physics}, volume={2015}, number={3}, pages={51}, year={2015}, publisher={Springer} } @article{Bousso2006, title={Holographic probabilities in eternal inflation}, author={Bousso, Raphael}, journal={Physical Review Letters}, volume={97}, number={19}, pages={191302}, year={2006}, publisher={APS} } @article{Hartle2016, title={The quasiclassical realms of this quantum universe}, author={Hartle, James B}, journal={Foundations of Physics}, volume={41}, number={6}, pages={982--1006}, year={2011}, publisher={Springer} } @article{Gell-Mann1993, title={Classical equations for quantum systems}, author={Gell-Mann, Murray and Hartle, James B}, journal={Physical Review D}, volume={47}, number={8}, pages={3345}, year={1993}, publisher={APS} } @book{Griffiths2002, title={Consistent Quantum Theory}, author={Griffiths, Robert B}, year={2002}, publisher={Cambridge University Press} } @book{Omnes1994, title={The Interpretation of Quantum Mechanics}, author={Omn{\`e}s, Roland}, year={1994}, publisher={Princeton University Press} } @article{Barlow2004, title={Random walks and heat kernels on graphs}, author={Barlow, Martin T}, journal={London Mathematical Society Lecture Note Series}, volume={438}, year={2017}, publisher={Cambridge University Press} } @article{Coulhon2003, title={Heat kernel estimates and the Green function on infinite graphs}, author={Coulhon, Thierry and Grigor'yan, Alexander}, journal={Annals of Probability}, pages={763--788}, year={2003} } @article{Mohar1991, title={The Laplacian spectrum of graphs}, author={Mohar, Bojan}, journal={Graph Theory, Combinatorics, and Applications}, volume={2}, pages={871--898}, year={1991} } @article{Hoffman2015, title={The interface theory of perception}, author={Hoffman, Donald D and Singh, Manish and Prakash, Chetan}, journal={Psychonomic Bulletin \& Review}, volume={22}, number={6}, pages={1480--1506}, year={2015}, publisher={Springer} } @book{MaturanaVarela1980, title={Autopoiesis and Cognition: The Realization of the Living}, author={Maturana, Humberto R and Varela, Francisco J}, year={1980}, publisher={D. Reidel}, address={Dordrecht} } @book{vonFoerster2003, title={Understanding Understanding: Essays on Cybernetics and Cognition}, author={von Foerster, Heinz}, year={2003}, publisher={Springer}, address={New York} } @book{Hayles1999, title={How We Became Posthuman: Virtual Bodies in Cybernetics, Literature, and Informatics}, author={Hayles, N. Katherine}, year={1999}, publisher={University of Chicago Press}, address={Chicago} } @article{Hoffman2015, title={The Interface Theory of Perception}, author={Hoffman, Donald D and Singh, Manish and Prakash, Chetan}, journal={Psychonomic Bulletin \& Review}, volume={22}, number={6}, pages={1480--1506}, year={2015} } @book{Husserl1960, title={Cartesian Meditations: An Introduction to Phenomenology}, author={Husserl, Edmund}, translator={Cairns, Dorion}, year={1960}, publisher={Martinus Nijhoff}, address={The Hague}, note={Original 1931} } @book{MerleauPonty1962, title={Phenomenology of Perception}, author={Merleau-Ponty, Maurice}, translator={Smith, Colin}, year={1962}, publisher={Routledge}, address={London}, note={Original 1945} }